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Finding the Fourth Proportional to 75,125.84, 112,745.89 and 27,785.72

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Solution

The fourth proportional to 75,125.84, 112,745.89 and 27,785.72 is: 41,699.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,125.84 : 112,745.89 = 27,785.72 : x
  2. Step 2: Convert to fraction form
    75,125.84/112,745.89 = 27,785.72/x
  3. Step 3: Cross multiply
    75,125.84x = 112,745.89 × 27,785.72
  4. Step 4: Simplify right side
    75,125.84x = 3,132,725,771.52
  5. Step 5: Solve for x
    x = 3,132,725,771.52/75,125.84
  6. Step 6: Final answer
    x = 41,699.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.